GCSE Scheme of Work Foundation skillsfor first teaching 2007-2009

Topic reference:
S5
Topic title:
Transformations & Symmetry



NC level description
Resources
7a

C
Solve a problem involving fractional enlargement

Reflect a shape in a diagonal mirror line and find the equation of the mirror line

  • Recognise that these shapes preserve length & angle

Rotate a shape, or state the angle, direction & centre of rotation

  • Recognise that these shapes preserve length & angle

Solve a problem involving translation using vectors

Recognise & describe a combination of transformations
9ko09_transformations.doc
All Transformations.gsp
Mixed Transformations - Matchcards.doc
Transform triangles.swf
Whiteboard Transformations.swf
Transformations.pdf
Transformation Exam Questions.rtf
Transformation Golf.xls
7b

7c
6a
D
Solve a problem involving positive enlargement

  • Understand that enlargements are specified by a centre & a positive scale factor.
  • Recognise that enlargements preserve angle but not length.
  • Recognise & Visualise enlargements of objects with positive integer scale factors.
  • Construct enlargements of objects with positive integer scale factors
Enlargement Tool
Enlargement.pdf
enlargement worksheet.doc

6b
6c
5a
E
Reflect a shape in a mirror line (including a two-way mirror line)

  • Transform 2D shapes by reflection recognising that these shapes preserve length & angle

5b
5c
4a
F
Reflect a simple shape in a one-way mirror line
* Understand that reflections are specified by a mirror line

  • Recognise & Visualise Reflections


  • Use and interpret maps & scale drawings
Reflection.ppt
mirrorimages.zip
4b
4c
3a
G


3b


GCSE Scheme of Work Higher skillsfor first teaching 2007-2009

Topic reference:
S5
Topic title:
Transformations & Symmetry



NC level description
Resources
10a
A*
Find the solution to a graph in the form y=f(x) which is changed by the variable y=f(ax), y=f(x+a), y=af(x) or y=f(x)+a

  • Apply to the graph of y=f(x) the transformationsy=f(x) + a, y=f(ax), y=f(x+a) & y=af(x) for linear, quadratic, sine & cosine functionsf(x).

transformationsofgraphs[1].gsp
Transformations of Graphs.rtf

10b
10c
9a
A

9b
9c
8a
B
Solve a problem involving negative enlargement
* Recognise & Visualise enlargements with scale factors less than 1.

  • Construct enlargements of objects with scale factors less than 1
Enlargement tool 2
Enlargement Tool 3
Enlargement - fractional scale factor.pdf
Enlargement - Scale Factor Video.wmv
Enlargement - Scale Factor Video Worksheets.pdf
Enlargement worksheet 2.doc
enlargementsNegativeSF.pdf

8b
8c
7a
C
Solve a problem involving fractional enlargement

Reflect a shape in a diagonal mirror line and find the equation of the mirror line

  • Recognise that these shapes preserve length & angle

Rotate a shape, or state the angle, direction & centre of rotation

  • Recognise that these shapes preserve length & angle

Solve a problem involving translation using vectors

Recognise & describe a combination of
transformations.

9ko09_transformations.doc
All Transformations.gsp
Mixed Transformations - Matchcards.doc
Transform triangles.swf
Whiteboard Transformations.swf
transformations interactive lesson.htm
Transformation Exam Questions.rtf
Transformation Golf.xls
7b
7c
6a
D
Solve a problem involving positive enlargement

  • Understand that enlargements are specified by a centre & a positive scale factor.
  • Recognise that enlargements preserve angle but not length.
  • Recognise & Visualise enlargements of objects with positive integer scale factors.
  • Construct enlargements of objects with positive integer scale factors

Enlargement.pdf
enlargement worksheet.doc
enlargementLevel6.pdf
6b
6c